DENSITY OF WEAK SOLUTIONS OF THE FRACTIONAL NAVIER-STOKES EQUATIONS IN THE SMOOTH DIVERGENCE-FREE VECTOR FIELDS

被引：0

作者：

Gorini, Michele ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, Via Filippo Buonarroti 1-C, I-56127 Pisa, Italy

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2025年 / 14卷 / 01期

关键词：

Key words and phrases; Convex integration; fractional Navier-Stokes equations; non; uniqueness; density; fluid dynamics;

D O I：

10.3934/eect.2024043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

ABSTRACT. In this paper, we consider the fractional Navier-Stokes equations. We extend a previous non-uniqueness result due to Cheskidov and Luo, found in [5], from Navier-Stokes to the fractional case, and from L1-in-time, W1,qin-space solutions for every q > 1 to Ls-in-time, W gamma ,q-in-space solutions for appropriate ranges of s, q, gamma, theta, which also extends the result of Li, Qu, Zeng, and Zhang found in [14].

引用

页码：1 / 35

页数：35

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